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12008165 = 513374993
BaseRepresentation
bin101101110011…
…101011100101
3211121002002212
4231303223211
511033230130
61105213205
7204032141
oct55635345
924532085
1012008165
116861a04
124031205
132645930
141848221
1510c2e95
hexb73ae5

12008165 has 16 divisors (see below), whose sum is σ = 15940848. Its totient is φ = 8626176.

The previous prime is 12008149. The next prime is 12008167. The reversal of 12008165 is 56180021.

It can be written as a sum of positive squares in 8 ways, for example, as 160801 + 11847364 = 401^2 + 3442^2 .

It is not a de Polignac number, because 12008165 - 24 = 12008149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12008165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92 + ... + 4901.

It is an arithmetic number, because the mean of its divisors is an integer number (996303).

Almost surely, 212008165 is an apocalyptic number.

It is an amenable number.

12008165 is a deficient number, since it is larger than the sum of its proper divisors (3932683).

12008165 is a wasteful number, since it uses less digits than its factorization.

12008165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 12008165 is about 3465.2799309724. The cubic root of 12008165 is about 228.9947622481.

Adding to 12008165 its reverse (56180021), we get a palindrome (68188186).

The spelling of 12008165 in words is "twelve million, eight thousand, one hundred sixty-five".

Divisors: 1 5 13 37 65 185 481 2405 4993 24965 64909 184741 324545 923705 2401633 12008165